Issue |
Europhys. Lett.
Volume 62, Number 1, April 2003
|
|
---|---|---|
Page(s) | 21 - 27 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2003-00358-9 | |
Published online | 01 March 2003 |
Lyapunov spectrum analysis for a chaotic transition phenomenon
1
Graduate School of Science and Technology, Kumamoto University Kumamoto 860-8555, Japan
2
Faculty of Education, Kumamoto University - Kumamoto 860-8555, Japan
3
Department of General Education, Sojo University Kumamoto 860-0082, Japan
4
Division of Electronic Physics, Kyushu Insitute of Technology Kitakyushu 804-8550, Japan
Received:
24
October
2002
Accepted:
28
January
2003
A chaotic transition phenomenon in a five-star–coupled map system
resulting from recombination of synchronized clusters is analyzed
numerically with the Lyapunov spectrum. When a chaotic transition
phenomenon occurs, in the Lyapunov spectrum, three Lyapunov
exponents take the value of nearly zero. When we introduce a
locally time-averaged Lyapunov exponent, these three Lyapunov
exponents fluctuate around zero. The time-variation of the
difference between two of the three local Lyapunov exponents
shows an intermittent behavior very similar to on-off
intermittency. In the intermittent time-variation, however, the
distribution function of the laminar duration time is shown as a
power law with a value of power nearly equal to -2. This power
law is distinguishable from that of on-off intermittency, in
which the distribution function of the laminar duration time is
expressed as a power law. Furthermore, these
results are also obtained in globally coupled systems of various
system sizes. We examine the results for systems with sizes of 4,
5, 8, 16, 32 and 64.
PACS: 05.45.Pq – Numerical simulations of chaotic models / 05.45.Tp – Time series analysis / 05.45.Xt – Synchronization; coupled oscillators
© EDP Sciences, 2003
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